Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.

Consider In The Figure Below.The Perpendicular Bisectors Of Its Sides Are , , And . They Meet At A Single

Answers

Answer 1

Here BD is perpendicular bisector

So

UB=BV=74

[tex]\\ \tt\hookrightarrow UV=74+74=148[/tex]

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2[/tex]

UD=VD=78=TD

[tex]\\ \tt\hookrightarrow TC^2=TD^2-CD^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=78^2-30^2[/tex]

[tex]\\ \tt\hookrightarrow TC^2=6084-900=5184[/tex]

[tex]\\ \tt\hookrightarrow TC=72[/tex]

Answer 2

Answer:

UV = 148

VD = 78

TC = 72

Step-by-step explanation:

BD is the perpendicular bisector of side UV.

Therefore, ΔUDV is an isosceles triangle.

This implies that UD = VD and BV = UB so UV = 2 x BV

Given that UD = 78, and UD = VD, then VD = 78Given that BV = 74, and BV = UB, then UV = 2 x 74 = 148

ΔUDC is a right triangle.

Given CD = 30 and UD = 78,

and using Pythagoras' Theorem, we can calculate UC:

UC = √(UD² - CD²)

⇒ UC = √(78² - 30²)

⇒ UC = 72

CD is the perpendicular bisector of side UT.

Therefore, ΔUDT is an isosceles triangle, so UC = TC

Since UC = 72, then TC = 72


Related Questions

Find the value of x.

Answers

Sum of angles of triangle = 180°

Therefore:

x + 60 + 41 = 180x + 101 = 180x = 180 - 101x = 79°

hope it helps!

Seth and Ted can paint a room in 6 hours if they work together. If Ted were to work by himself, it would take him 1 hours longer than it would take Seth working by himself. How long would it take Seth to paint the room by himself if Ted calls in sick

Answers

Answer:

11.5 hours

Step-by-step explanation:

It would take Seith x hours to paint the room by himself, then Ted needs x + 1 hour.

During 1 hour, Seith can do 1/x of the work, Ted can do 1/(x+1) of the work, then we have

1/x + 1/(x + 1) = 1/6

(2x + 1)/[x(x+1)] = 1/6

x(x+1)=6(2x+1)

x^2 + x = 12x + 6

x^2 - 11x - 6 = 0

[tex]x=\frac{11+\sqrt{145}}{2}= 11.5 hours[/tex]

Swimming Pool On a certain hot summer's day, 685 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1352.50. How many children and how many adults swam at the public pool that day?​

Answers

Answer:

120 children and 388 adults bought tickets for the swimming pool. Explanation: Create two simultanous equations:.

Graph y=2x-7 (pls hurry!)​

Answers

Put y = 2x - 7 into a graphing website and it'll show you (0, -7), (1, -5).

What’s the correct answer for this question?

Answers

2.36- dollars per pound
0.42- pound per dollars

Zarah bought x candies and y cakes from a shop. Price of each candy is $ 5 and price of
each cake is $ 20.
1. How much money did Zarab pay for all candies? Give answer in terms of x
2. What was the cost of all cakes that Zarah bought? Give answers in terns of y
3, Find the total cost of candies and cakes in terms of x and y
4. If x=10 and y =5, how nonch money did she spend for the candies and cakes?

Answers

Zarab pay for all candies = 5x

Zarab pay for all cakes = 20 y

Total cost = 5x + 20y

Money spent = 5x + 20y

= 5 × 10 + 20 × 5

= 50 + 100

= $150

3,100 x 1/10 what is the value of the expression?

Answers

Answer: 310

Step-by-step explanation:

Multiplying a value by 1/10 is the same as dividing by 10.

Therefore, 3100* 1/10 = 3100/10

3100/10 = 310.

Hey there!

3,100 × 1/10

= 3,100/1 × 1/10

= 3,100(1) / 1(10)

= 3,100 / 10

= 3,100 ÷ 10 / 10 ÷ 10

= 310 / 1

= 310 ÷ 1

= 310


Therefore, your answer is: 310


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

pls answer I will give brainliest

Answers

A. Around $2.00 hope it helps sorry if it doesn’t!

The medians of are , , and . They meet at a single point .
(In other words, is the centroid of .)
Suppose , , and .
Find the following lengths.
Note that the figure is not drawn to scale.

Answers

#VS

We know that medians bisect eachother at 2:1 at centroid

Vs be x

[tex]\\ \tt\hookrightarrow 18:x=2:1[/tex]

[tex]\\ \tt\hookrightarrow 2x=18[/tex]

[tex]\\ \tt\hookrightarrow x=9[/tex]

#VU

VU be x

[tex]\\ \tt\hookrightarrow \dfrac{39}{3}=x=13[/tex]

#PT

[tex]\\ \tt\hookrightarrow VT=16/2=8[/tex]

PT=16+8=24

Answer:

#VS

We know that medians bisect eachother at 2:1 at centroid

Vs be x

#VU

VU be x

#PT

PT=16+8=24

Step-by-step explanation:

For each line, determine whether the slope is positive, negative, zero, or undefined.

Answers

Answer:

1. Undefined

2. Negative

3. Zero

4. Positive

Step-by-step explanation:

1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.

2. Negative, the line is decreasing at a constant rate, the slope is negative.

3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)

4. Positive, the line is increasing at a large rate, the slope is positive.

Provide an appropriate response. A quiz consists of 100 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?​

Answers

Answer:

25-50 correct

Step-by-step explanation:

help me pls give me awnser

Answers

Answer:

THE IS 32

Step-by-step explanation:

MALPI THE NUBERS

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

I got C as the correct answer.

Step-by-step explanation:

Im sorry if it’s wrong. Im not the best with percentages.
Hope this helped! Have a great day!!

Please help with this equation, it would really help me. Thank you.

Answers

Answer:

the volume should be 2/15

4x 1/5 please someone help me

Answers

Answer:

24/5

Step-by-step explanation:

1 1/5 is equal to 6/5. 4 times 6/5 is first 4 times 6 which is 24 and then /5. So the answer is 24/5

The ratio of men to women working for a company is 2 to 3. If there are 87 women working for the company, what is the total number of employees?​

Answers

58 men if 2:3

From this 87+53= 145 which means

It will be 145 as the answer!

Please like and brainiest

What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
2 in

Answers

Answer:

33.49 cubic inches

Step-by-step explanation:

the volume of a sphere is represented by (4/3)pi(r)^3

pi is 3.14 and r is 2

so 4/3(3.14)(2^3)

2^3 is also 8

4/3(3.14)(8)

the final answer is 33.4933333

OR when rounded it is 33.49

Statement:

The radius of the sphere is 2 inches.

To find out:

The volume of the sphere.

Solution:

Radius (r) = 2 inπ we have to consider as 3.14.We know, volume of a sphere [tex] = \frac{4}{3} \pi \: {r}^{3} [/tex]Therefore, the volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches[/tex]

Answer:

The volume of the sphere is 33.49 cubic inches.

Hope you could understand.

If you have any query, feel free to ask.

what is the answer help

Answers

Answer:

900 batteries

Step-by-step explanation:

First we must find how many batteries does 1 calculator need

we can do this by dividing 160 by 40

which will give us 4 batteries per calculator

then we multiply the amount of calculators we have with 4

225×4 = 900 so we need 900 batteries

A baker prepared 264 more cookies than muffins. She sold 3/8 of the cookies and half of the muffins. She had 588 cookies and muffins left altogether. How many cookies did she bake at first?​

Answers

Answer:

She baked 640 cookies at first.

Step-by-step explanation:

Let cookies be x and muffins be y,

Let cookies remaining be z and remaining muffins be a

x = 264 + y

now,

x - 3/8 of x = z

x - 3x/8 = z

or, (8x-3x)/8 = z

so, z = 5x/8

Now,

y - y/2 = a

or, (2y-y)/2 = a

so, a = y/2

Now,

z + a = 588

or, 5x/8 + y/2 = 588

as we know x = 264 + y,

or, 5(264 + y)/8 + y/2 = 588

or, (1320 + 5y)/ 8 + y/2 = 588

or, (2640 + 10y + 8y)/16 = 588

or, 2640 + 18y = 9408

or, 18y = 9408 - 2640

or, 18y = 6768

so, y = 6768/18

so, y = 376

now,

x = 264 + y

or, x = 264 + 376

so, x = 640


A person's blood pressure (in millimeters of mercury) while resting is given by the function (1) = 23 sin (2xt) + 100, where t is time in seconds. Find his blood pressure after 1 second

Answers

Answer:
Does tha 1 in the equation represent the second
Step-by-step explanation:

height of trapezium if the area given is 124
Short base: 12 cm
Long base: 19 cm
Height:?

Answers

Answer:

A= 0.5 x (a+b) x h

124 = 0.5 x (12+19) x h

124 = 15.5 x h

÷15.5

h = 8cm

0.5x(12+19) x 8 does gives 124

Thus, height is 8cm.

Hope this helps!

What’s the correct answer for this question?

Answers

Answer:

30 ounces

Step-by-step explanation:

1 chain = 10 pounds per foot

3inches = ?

therefore

? = 30 ounces

Turn the base 2 number 1111 into base 10

Answers

Answer:

7

Step-by-step explanation:

[tex]111 \\ {1}^{2} {1}^{1} {1}^{0} \\ 1 \times {2}^{2} + 1 \times {2}^{1} + 1 \times {2}^{0} \\ 4 + 2 + 1 \\ = 7[/tex]

Solve For x ~
19x = 361





Thnx<3"​

Answers

[tex]\bold{Heya}[/tex] ~

✰ [tex]\sf{Solve~for~x}[/tex] ✰

[tex]\sf{19x~=~361}[/tex]

[tex]\huge \boxed {\underline{Explanation}}[/tex]

—————————————

[tex]\sf{19x~=~361}[/tex]

[tex]\sf{Divide~both~sides~by~19}[/tex]

[tex]\sf{\frac{19x}{19}~=~\frac{361}{19}[/tex].

[tex]\sf{Simplify}[/tex]

[tex]\sf{x~=~19}[/tex]

Hope It Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

Jace •᎑•

does anyone know the answer?

Answers

Answer:

Part A: 9.75x > 195

Part B: x > 20

Step-by-step explanation:

Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.

We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195

divide both sides by 9.75 to solve for x

x > 20

X x 15 = 8 1/3. what is X​

Answers

Answer:

4

Step-by-step explanation:

yes 1x is the same a x Technically the 1 front of the x is called implied so it's simply written as x say x=4

Answer:

5/9

Step-by-step explanation:

I assume the second x is a times.

X*15=8 1/3

Divide both sides by 15

x= 5/9 or .555 repeating forever

Solve for r.
1/3 - 2 = 2
2 = 2
r =
-=[
Submit

Answers

The answer is 12 because you have to combine fractions with common denominators

[tex] \frac{r}{3} - 2 = 2 \\ \\ \frac{r}{3} = 2 + 2 \\ \\ \frac{r}{3} = 4 \\ \\ r = 4 \times 3 \\ \\ r = 12.[/tex]

The value of r is 12 .

Javier is standing near a tree. He holds an electronic tape measure near his eyes and finds the three distances shoen

Answers

That’s right he should measure the with as well

Are this functions yes or no how can I tell if it is ?

Answers

Answer:

yes they are all functions

Step-by-step explanation:

Despite f(x) being the classic way to write a function,

a function has:

an input (domain)a relationship (maps to)an output (range)

A function relates each element of a set with exactly one element of another (possibly the same) set.  

One-to-one and many-to-one are functions, but one-to-many is not a function.

You can also carry out the Vertical Line Test on a graph.  If the vertical line only crosses the curve once, it is a function.  If it crosses more than once it is still a valid curve, but is not a function.

Yes they all are functions

Functions should include

Two variables (Here they are x and f(x))Must have domain and range.Function must return a new value as output when any input is given .

PLS ANSWER AS SOON AS POSSIBLE!!!!

Answers

Answer:

Here's a answer to your question.

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